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Finding the Fourth Proportional to 124,271.52, 186,251.64 and 97,872

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Solution

The fourth proportional to 124,271.52, 186,251.64 and 97,872 is: 146,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,271.52 : 186,251.64 = 97,872 : x
  2. Step 2: Convert to fraction form
    124,271.52/186,251.64 = 97,872/x
  3. Step 3: Cross multiply
    124,271.52x = 186,251.64 × 97,872
  4. Step 4: Simplify right side
    124,271.52x = 18,228,820,510.08
  5. Step 5: Solve for x
    x = 18,228,820,510.08/124,271.52
  6. Step 6: Final answer
    x = 146,685.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.